2 * linux/arch/i386/mm/init.c
4 * Copyright (C) 1995 Linus Torvalds
6 * Support of BIGMEM added by Gerhard Wichert, Siemens AG, July 1999
9 #include <linux/module.h>
10 #include <linux/signal.h>
11 #include <linux/sched.h>
12 #include <linux/kernel.h>
13 #include <linux/errno.h>
14 #include <linux/string.h>
15 #include <linux/types.h>
16 #include <linux/ptrace.h>
17 #include <linux/mman.h>
19 #include <linux/hugetlb.h>
20 #include <linux/swap.h>
21 #include <linux/smp.h>
22 #include <linux/init.h>
23 #include <linux/highmem.h>
24 #include <linux/pagemap.h>
25 #include <linux/pfn.h>
26 #include <linux/poison.h>
27 #include <linux/bootmem.h>
28 #include <linux/slab.h>
29 #include <linux/proc_fs.h>
30 #include <linux/efi.h>
31 #include <linux/memory_hotplug.h>
32 #include <linux/initrd.h>
33 #include <linux/cpumask.h>
35 #include <asm/processor.h>
36 #include <asm/system.h>
37 #include <asm/uaccess.h>
38 #include <asm/pgtable.h>
40 #include <asm/fixmap.h>
44 #include <asm/tlbflush.h>
45 #include <asm/sections.h>
47 unsigned int __VMALLOC_RESERVE
= 128 << 20;
49 DEFINE_PER_CPU(struct mmu_gather
, mmu_gathers
);
50 unsigned long highstart_pfn
, highend_pfn
;
52 static int noinline
do_test_wp_bit(void);
55 * Creates a middle page table and puts a pointer to it in the
56 * given global directory entry. This only returns the gd entry
57 * in non-PAE compilation mode, since the middle layer is folded.
59 static pmd_t
* __init
one_md_table_init(pgd_t
*pgd
)
65 pmd_table
= (pmd_t
*) alloc_bootmem_low_pages(PAGE_SIZE
);
66 paravirt_alloc_pd(__pa(pmd_table
) >> PAGE_SHIFT
);
67 set_pgd(pgd
, __pgd(__pa(pmd_table
) | _PAGE_PRESENT
));
68 pud
= pud_offset(pgd
, 0);
69 if (pmd_table
!= pmd_offset(pud
, 0))
72 pud
= pud_offset(pgd
, 0);
73 pmd_table
= pmd_offset(pud
, 0);
80 * Create a page table and place a pointer to it in a middle page
83 static pte_t
* __init
one_page_table_init(pmd_t
*pmd
)
86 pte_t
*page_table
= (pte_t
*) alloc_bootmem_low_pages(PAGE_SIZE
);
87 paravirt_alloc_pt(__pa(page_table
) >> PAGE_SHIFT
);
88 set_pmd(pmd
, __pmd(__pa(page_table
) | _PAGE_TABLE
));
89 if (page_table
!= pte_offset_kernel(pmd
, 0))
95 return pte_offset_kernel(pmd
, 0);
99 * This function initializes a certain range of kernel virtual memory
100 * with new bootmem page tables, everywhere page tables are missing in
105 * NOTE: The pagetables are allocated contiguous on the physical space
106 * so we can cache the place of the first one and move around without
107 * checking the pgd every time.
109 static void __init
page_table_range_init (unsigned long start
, unsigned long end
, pgd_t
*pgd_base
)
114 int pgd_idx
, pmd_idx
;
118 pgd_idx
= pgd_index(vaddr
);
119 pmd_idx
= pmd_index(vaddr
);
120 pgd
= pgd_base
+ pgd_idx
;
122 for ( ; (pgd_idx
< PTRS_PER_PGD
) && (vaddr
!= end
); pgd
++, pgd_idx
++) {
124 one_md_table_init(pgd
);
125 pud
= pud_offset(pgd
, vaddr
);
126 pmd
= pmd_offset(pud
, vaddr
);
127 for (; (pmd_idx
< PTRS_PER_PMD
) && (vaddr
!= end
); pmd
++, pmd_idx
++) {
129 one_page_table_init(pmd
);
137 static inline int is_kernel_text(unsigned long addr
)
139 if (addr
>= PAGE_OFFSET
&& addr
<= (unsigned long)__init_end
)
145 * This maps the physical memory to kernel virtual address space, a total
146 * of max_low_pfn pages, by creating page tables starting from address
149 static void __init
kernel_physical_mapping_init(pgd_t
*pgd_base
)
155 int pgd_idx
, pmd_idx
, pte_ofs
;
157 pgd_idx
= pgd_index(PAGE_OFFSET
);
158 pgd
= pgd_base
+ pgd_idx
;
161 for (; pgd_idx
< PTRS_PER_PGD
; pgd
++, pgd_idx
++) {
162 pmd
= one_md_table_init(pgd
);
163 if (pfn
>= max_low_pfn
)
165 for (pmd_idx
= 0; pmd_idx
< PTRS_PER_PMD
&& pfn
< max_low_pfn
; pmd
++, pmd_idx
++) {
166 unsigned int address
= pfn
* PAGE_SIZE
+ PAGE_OFFSET
;
168 /* Map with big pages if possible, otherwise create normal page tables. */
170 unsigned int address2
= (pfn
+ PTRS_PER_PTE
- 1) * PAGE_SIZE
+ PAGE_OFFSET
+ PAGE_SIZE
-1;
172 if (is_kernel_text(address
) || is_kernel_text(address2
))
173 set_pmd(pmd
, pfn_pmd(pfn
, PAGE_KERNEL_LARGE_EXEC
));
175 set_pmd(pmd
, pfn_pmd(pfn
, PAGE_KERNEL_LARGE
));
178 pte
= one_page_table_init(pmd
);
180 for (pte_ofs
= 0; pte_ofs
< PTRS_PER_PTE
&& pfn
< max_low_pfn
; pte
++, pfn
++, pte_ofs
++) {
181 if (is_kernel_text(address
))
182 set_pte(pte
, pfn_pte(pfn
, PAGE_KERNEL_EXEC
));
184 set_pte(pte
, pfn_pte(pfn
, PAGE_KERNEL
));
191 static inline int page_kills_ppro(unsigned long pagenr
)
193 if (pagenr
>= 0x70000 && pagenr
<= 0x7003F)
198 int page_is_ram(unsigned long pagenr
)
201 unsigned long addr
, end
;
204 efi_memory_desc_t
*md
;
207 for (p
= memmap
.map
; p
< memmap
.map_end
; p
+= memmap
.desc_size
) {
209 if (!is_available_memory(md
))
211 addr
= (md
->phys_addr
+PAGE_SIZE
-1) >> PAGE_SHIFT
;
212 end
= (md
->phys_addr
+ (md
->num_pages
<< EFI_PAGE_SHIFT
)) >> PAGE_SHIFT
;
214 if ((pagenr
>= addr
) && (pagenr
< end
))
220 for (i
= 0; i
< e820
.nr_map
; i
++) {
222 if (e820
.map
[i
].type
!= E820_RAM
) /* not usable memory */
225 * !!!FIXME!!! Some BIOSen report areas as RAM that
226 * are not. Notably the 640->1Mb area. We need a sanity
229 addr
= (e820
.map
[i
].addr
+PAGE_SIZE
-1) >> PAGE_SHIFT
;
230 end
= (e820
.map
[i
].addr
+e820
.map
[i
].size
) >> PAGE_SHIFT
;
231 if ((pagenr
>= addr
) && (pagenr
< end
))
237 #ifdef CONFIG_HIGHMEM
241 #define kmap_get_fixmap_pte(vaddr) \
242 pte_offset_kernel(pmd_offset(pud_offset(pgd_offset_k(vaddr), vaddr), (vaddr)), (vaddr))
244 static void __init
kmap_init(void)
246 unsigned long kmap_vstart
;
248 /* cache the first kmap pte */
249 kmap_vstart
= __fix_to_virt(FIX_KMAP_BEGIN
);
250 kmap_pte
= kmap_get_fixmap_pte(kmap_vstart
);
252 kmap_prot
= PAGE_KERNEL
;
255 static void __init
permanent_kmaps_init(pgd_t
*pgd_base
)
264 page_table_range_init(vaddr
, vaddr
+ PAGE_SIZE
*LAST_PKMAP
, pgd_base
);
266 pgd
= swapper_pg_dir
+ pgd_index(vaddr
);
267 pud
= pud_offset(pgd
, vaddr
);
268 pmd
= pmd_offset(pud
, vaddr
);
269 pte
= pte_offset_kernel(pmd
, vaddr
);
270 pkmap_page_table
= pte
;
273 static void __meminit
free_new_highpage(struct page
*page
)
275 init_page_count(page
);
280 void __init
add_one_highpage_init(struct page
*page
, int pfn
, int bad_ppro
)
282 if (page_is_ram(pfn
) && !(bad_ppro
&& page_kills_ppro(pfn
))) {
283 ClearPageReserved(page
);
284 free_new_highpage(page
);
286 SetPageReserved(page
);
289 static int __meminit
add_one_highpage_hotplug(struct page
*page
, unsigned long pfn
)
291 free_new_highpage(page
);
293 #ifdef CONFIG_FLATMEM
294 max_mapnr
= max(pfn
, max_mapnr
);
301 * Not currently handling the NUMA case.
302 * Assuming single node and all memory that
303 * has been added dynamically that would be
304 * onlined here is in HIGHMEM
306 void __meminit
online_page(struct page
*page
)
308 ClearPageReserved(page
);
309 add_one_highpage_hotplug(page
, page_to_pfn(page
));
314 extern void set_highmem_pages_init(int);
316 static void __init
set_highmem_pages_init(int bad_ppro
)
319 for (pfn
= highstart_pfn
; pfn
< highend_pfn
; pfn
++)
320 add_one_highpage_init(pfn_to_page(pfn
), pfn
, bad_ppro
);
321 totalram_pages
+= totalhigh_pages
;
323 #endif /* CONFIG_FLATMEM */
326 #define kmap_init() do { } while (0)
327 #define permanent_kmaps_init(pgd_base) do { } while (0)
328 #define set_highmem_pages_init(bad_ppro) do { } while (0)
329 #endif /* CONFIG_HIGHMEM */
331 unsigned long long __PAGE_KERNEL
= _PAGE_KERNEL
;
332 EXPORT_SYMBOL(__PAGE_KERNEL
);
333 unsigned long long __PAGE_KERNEL_EXEC
= _PAGE_KERNEL_EXEC
;
336 extern void __init
remap_numa_kva(void);
338 #define remap_numa_kva() do {} while (0)
341 static void __init
pagetable_init (void)
344 pgd_t
*pgd_base
= swapper_pg_dir
;
346 #ifdef CONFIG_X86_PAE
348 /* Init entries of the first-level page table to the zero page */
349 for (i
= 0; i
< PTRS_PER_PGD
; i
++)
350 set_pgd(pgd_base
+ i
, __pgd(__pa(empty_zero_page
) | _PAGE_PRESENT
));
352 paravirt_alloc_pd(__pa(swapper_pg_dir
) >> PAGE_SHIFT
);
355 /* Enable PSE if available */
357 set_in_cr4(X86_CR4_PSE
);
360 /* Enable PGE if available */
362 set_in_cr4(X86_CR4_PGE
);
363 __PAGE_KERNEL
|= _PAGE_GLOBAL
;
364 __PAGE_KERNEL_EXEC
|= _PAGE_GLOBAL
;
367 kernel_physical_mapping_init(pgd_base
);
371 * Fixed mappings, only the page table structure has to be
372 * created - mappings will be set by set_fixmap():
374 vaddr
= __fix_to_virt(__end_of_fixed_addresses
- 1) & PMD_MASK
;
375 page_table_range_init(vaddr
, 0, pgd_base
);
377 permanent_kmaps_init(pgd_base
);
379 #ifdef CONFIG_X86_PAE
381 * Add low memory identity-mappings - SMP needs it when
382 * starting up on an AP from real-mode. In the non-PAE
383 * case we already have these mappings through head.S.
384 * All user-space mappings are explicitly cleared after
387 set_pgd(&pgd_base
[0], pgd_base
[USER_PTRS_PER_PGD
]);
391 #if defined(CONFIG_SOFTWARE_SUSPEND) || defined(CONFIG_ACPI_SLEEP)
393 * Swap suspend & friends need this for resume because things like the intel-agp
394 * driver might have split up a kernel 4MB mapping.
396 char __nosavedata swsusp_pg_dir
[PAGE_SIZE
]
397 __attribute__ ((aligned (PAGE_SIZE
)));
399 static inline void save_pg_dir(void)
401 memcpy(swsusp_pg_dir
, swapper_pg_dir
, PAGE_SIZE
);
404 static inline void save_pg_dir(void)
409 void zap_low_mappings (void)
416 * Zap initial low-memory mappings.
418 * Note that "pgd_clear()" doesn't do it for
419 * us, because pgd_clear() is a no-op on i386.
421 for (i
= 0; i
< USER_PTRS_PER_PGD
; i
++)
422 #ifdef CONFIG_X86_PAE
423 set_pgd(swapper_pg_dir
+i
, __pgd(1 + __pa(empty_zero_page
)));
425 set_pgd(swapper_pg_dir
+i
, __pgd(0));
430 static int disable_nx __initdata
= 0;
431 u64 __supported_pte_mask __read_mostly
= ~_PAGE_NX
;
436 * Control non executable mappings.
441 static int __init
noexec_setup(char *str
)
443 if (!str
|| !strcmp(str
, "on")) {
445 __supported_pte_mask
|= _PAGE_NX
;
448 } else if (!strcmp(str
,"off")) {
450 __supported_pte_mask
&= ~_PAGE_NX
;
456 early_param("noexec", noexec_setup
);
459 #ifdef CONFIG_X86_PAE
461 static void __init
set_nx(void)
463 unsigned int v
[4], l
, h
;
465 if (cpu_has_pae
&& (cpuid_eax(0x80000000) > 0x80000001)) {
466 cpuid(0x80000001, &v
[0], &v
[1], &v
[2], &v
[3]);
467 if ((v
[3] & (1 << 20)) && !disable_nx
) {
468 rdmsr(MSR_EFER
, l
, h
);
470 wrmsr(MSR_EFER
, l
, h
);
472 __supported_pte_mask
|= _PAGE_NX
;
478 * Enables/disables executability of a given kernel page and
479 * returns the previous setting.
481 int __init
set_kernel_exec(unsigned long vaddr
, int enable
)
489 pte
= lookup_address(vaddr
);
492 if (!pte_exec_kernel(*pte
))
496 pte
->pte_high
&= ~(1 << (_PAGE_BIT_NX
- 32));
498 pte
->pte_high
|= 1 << (_PAGE_BIT_NX
- 32);
499 pte_update_defer(&init_mm
, vaddr
, pte
);
508 * paging_init() sets up the page tables - note that the first 8MB are
509 * already mapped by head.S.
511 * This routines also unmaps the page at virtual kernel address 0, so
512 * that we can trap those pesky NULL-reference errors in the kernel.
514 void __init
paging_init(void)
516 #ifdef CONFIG_X86_PAE
519 printk("NX (Execute Disable) protection: active\n");
524 load_cr3(swapper_pg_dir
);
526 #ifdef CONFIG_X86_PAE
528 * We will bail out later - printk doesn't work right now so
529 * the user would just see a hanging kernel.
532 set_in_cr4(X86_CR4_PAE
);
540 * Test if the WP bit works in supervisor mode. It isn't supported on 386's
541 * and also on some strange 486's (NexGen etc.). All 586+'s are OK. This
542 * used to involve black magic jumps to work around some nasty CPU bugs,
543 * but fortunately the switch to using exceptions got rid of all that.
546 static void __init
test_wp_bit(void)
548 printk("Checking if this processor honours the WP bit even in supervisor mode... ");
550 /* Any page-aligned address will do, the test is non-destructive */
551 __set_fixmap(FIX_WP_TEST
, __pa(&swapper_pg_dir
), PAGE_READONLY
);
552 boot_cpu_data
.wp_works_ok
= do_test_wp_bit();
553 clear_fixmap(FIX_WP_TEST
);
555 if (!boot_cpu_data
.wp_works_ok
) {
557 #ifdef CONFIG_X86_WP_WORKS_OK
558 panic("This kernel doesn't support CPU's with broken WP. Recompile it for a 386!");
565 static struct kcore_list kcore_mem
, kcore_vmalloc
;
567 void __init
mem_init(void)
569 extern int ppro_with_ram_bug(void);
570 int codesize
, reservedpages
, datasize
, initsize
;
574 #ifdef CONFIG_FLATMEM
578 bad_ppro
= ppro_with_ram_bug();
580 #ifdef CONFIG_HIGHMEM
581 /* check that fixmap and pkmap do not overlap */
582 if (PKMAP_BASE
+LAST_PKMAP
*PAGE_SIZE
>= FIXADDR_START
) {
583 printk(KERN_ERR
"fixmap and kmap areas overlap - this will crash\n");
584 printk(KERN_ERR
"pkstart: %lxh pkend: %lxh fixstart %lxh\n",
585 PKMAP_BASE
, PKMAP_BASE
+LAST_PKMAP
*PAGE_SIZE
, FIXADDR_START
);
590 /* this will put all low memory onto the freelists */
591 totalram_pages
+= free_all_bootmem();
594 for (tmp
= 0; tmp
< max_low_pfn
; tmp
++)
596 * Only count reserved RAM pages
598 if (page_is_ram(tmp
) && PageReserved(pfn_to_page(tmp
)))
601 set_highmem_pages_init(bad_ppro
);
603 codesize
= (unsigned long) &_etext
- (unsigned long) &_text
;
604 datasize
= (unsigned long) &_edata
- (unsigned long) &_etext
;
605 initsize
= (unsigned long) &__init_end
- (unsigned long) &__init_begin
;
607 kclist_add(&kcore_mem
, __va(0), max_low_pfn
<< PAGE_SHIFT
);
608 kclist_add(&kcore_vmalloc
, (void *)VMALLOC_START
,
609 VMALLOC_END
-VMALLOC_START
);
611 printk(KERN_INFO
"Memory: %luk/%luk available (%dk kernel code, %dk reserved, %dk data, %dk init, %ldk highmem)\n",
612 (unsigned long) nr_free_pages() << (PAGE_SHIFT
-10),
613 num_physpages
<< (PAGE_SHIFT
-10),
615 reservedpages
<< (PAGE_SHIFT
-10),
618 (unsigned long) (totalhigh_pages
<< (PAGE_SHIFT
-10))
621 #if 1 /* double-sanity-check paranoia */
622 printk("virtual kernel memory layout:\n"
623 " fixmap : 0x%08lx - 0x%08lx (%4ld kB)\n"
624 #ifdef CONFIG_HIGHMEM
625 " pkmap : 0x%08lx - 0x%08lx (%4ld kB)\n"
627 " vmalloc : 0x%08lx - 0x%08lx (%4ld MB)\n"
628 " lowmem : 0x%08lx - 0x%08lx (%4ld MB)\n"
629 " .init : 0x%08lx - 0x%08lx (%4ld kB)\n"
630 " .data : 0x%08lx - 0x%08lx (%4ld kB)\n"
631 " .text : 0x%08lx - 0x%08lx (%4ld kB)\n",
632 FIXADDR_START
, FIXADDR_TOP
,
633 (FIXADDR_TOP
- FIXADDR_START
) >> 10,
635 #ifdef CONFIG_HIGHMEM
636 PKMAP_BASE
, PKMAP_BASE
+LAST_PKMAP
*PAGE_SIZE
,
637 (LAST_PKMAP
*PAGE_SIZE
) >> 10,
640 VMALLOC_START
, VMALLOC_END
,
641 (VMALLOC_END
- VMALLOC_START
) >> 20,
643 (unsigned long)__va(0), (unsigned long)high_memory
,
644 ((unsigned long)high_memory
- (unsigned long)__va(0)) >> 20,
646 (unsigned long)&__init_begin
, (unsigned long)&__init_end
,
647 ((unsigned long)&__init_end
- (unsigned long)&__init_begin
) >> 10,
649 (unsigned long)&_etext
, (unsigned long)&_edata
,
650 ((unsigned long)&_edata
- (unsigned long)&_etext
) >> 10,
652 (unsigned long)&_text
, (unsigned long)&_etext
,
653 ((unsigned long)&_etext
- (unsigned long)&_text
) >> 10);
655 #ifdef CONFIG_HIGHMEM
656 BUG_ON(PKMAP_BASE
+LAST_PKMAP
*PAGE_SIZE
> FIXADDR_START
);
657 BUG_ON(VMALLOC_END
> PKMAP_BASE
);
659 BUG_ON(VMALLOC_START
> VMALLOC_END
);
660 BUG_ON((unsigned long)high_memory
> VMALLOC_START
);
661 #endif /* double-sanity-check paranoia */
663 #ifdef CONFIG_X86_PAE
665 panic("cannot execute a PAE-enabled kernel on a PAE-less CPU!");
667 if (boot_cpu_data
.wp_works_ok
< 0)
671 * Subtle. SMP is doing it's boot stuff late (because it has to
672 * fork idle threads) - but it also needs low mappings for the
673 * protected-mode entry to work. We zap these entries only after
674 * the WP-bit has been tested.
681 #ifdef CONFIG_MEMORY_HOTPLUG
682 int arch_add_memory(int nid
, u64 start
, u64 size
)
684 struct pglist_data
*pgdata
= NODE_DATA(nid
);
685 struct zone
*zone
= pgdata
->node_zones
+ ZONE_HIGHMEM
;
686 unsigned long start_pfn
= start
>> PAGE_SHIFT
;
687 unsigned long nr_pages
= size
>> PAGE_SHIFT
;
689 return __add_pages(zone
, start_pfn
, nr_pages
);
692 int remove_memory(u64 start
, u64 size
)
696 EXPORT_SYMBOL_GPL(remove_memory
);
699 struct kmem_cache
*pgd_cache
;
700 struct kmem_cache
*pmd_cache
;
702 void __init
pgtable_cache_init(void)
704 if (PTRS_PER_PMD
> 1) {
705 pmd_cache
= kmem_cache_create("pmd",
706 PTRS_PER_PMD
*sizeof(pmd_t
),
707 PTRS_PER_PMD
*sizeof(pmd_t
),
712 panic("pgtable_cache_init(): cannot create pmd cache");
714 pgd_cache
= kmem_cache_create("pgd",
715 PTRS_PER_PGD
*sizeof(pgd_t
),
716 PTRS_PER_PGD
*sizeof(pgd_t
),
719 PTRS_PER_PMD
== 1 ? pgd_dtor
: NULL
);
721 panic("pgtable_cache_init(): Cannot create pgd cache");
725 * This function cannot be __init, since exceptions don't work in that
726 * section. Put this after the callers, so that it cannot be inlined.
728 static int noinline
do_test_wp_bit(void)
733 __asm__
__volatile__(
738 ".section __ex_table,\"a\"\n"
742 :"=m" (*(char *)fix_to_virt(FIX_WP_TEST
)),
751 #ifdef CONFIG_DEBUG_RODATA
753 void mark_rodata_ro(void)
755 unsigned long start
= PFN_ALIGN(_text
);
756 unsigned long size
= PFN_ALIGN(_etext
) - start
;
758 #ifdef CONFIG_HOTPLUG_CPU
759 /* It must still be possible to apply SMP alternatives. */
760 if (num_possible_cpus() <= 1)
763 change_page_attr(virt_to_page(start
),
764 size
>> PAGE_SHIFT
, PAGE_KERNEL_RX
);
765 printk("Write protecting the kernel text: %luk\n", size
>> 10);
769 size
= (unsigned long)__end_rodata
- start
;
770 change_page_attr(virt_to_page(start
),
771 size
>> PAGE_SHIFT
, PAGE_KERNEL_RO
);
772 printk("Write protecting the kernel read-only data: %luk\n",
776 * change_page_attr() requires a global_flush_tlb() call after it.
777 * We do this after the printk so that if something went wrong in the
778 * change, the printk gets out at least to give a better debug hint
779 * of who is the culprit.
785 void free_init_pages(char *what
, unsigned long begin
, unsigned long end
)
789 for (addr
= begin
; addr
< end
; addr
+= PAGE_SIZE
) {
790 struct page
*page
= pfn_to_page(addr
>> PAGE_SHIFT
);
791 ClearPageReserved(page
);
792 init_page_count(page
);
793 memset(page_address(page
), POISON_FREE_INITMEM
, PAGE_SIZE
);
797 printk(KERN_INFO
"Freeing %s: %luk freed\n", what
, (end
- begin
) >> 10);
800 void free_initmem(void)
802 free_init_pages("unused kernel memory",
803 __pa_symbol(&__init_begin
),
804 __pa_symbol(&__init_end
));
807 #ifdef CONFIG_BLK_DEV_INITRD
808 void free_initrd_mem(unsigned long start
, unsigned long end
)
810 free_init_pages("initrd memory", __pa(start
), __pa(end
));